{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1、K-means Clustering\n",
    "\n",
    "在这个练习中，您将实现K-means算法并将其用于图像压缩。通过减少图像中出现的颜色的数量，只剩下那些在图像中最常见的颜色。\n",
    "\n",
    "## 1.1 Implementing K-means\n",
    "### 1.1.1 Finding closest centroids\n",
    "在K-means算法的分配簇的阶段，算法将每一个训练样本$x_i$分配给最接近的簇中心。\n",
    "\n",
    "$$c^{(i)} := j $$ \n",
    "that minimizes\n",
    "$$||x^{(i)} - μ_j||$$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.io import loadmat"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "def find_closest_centroids(X, centroids):\n",
    "    \"\"\"\n",
    "    该函数接受数据矩阵X和聚类中心内所有中心的位置，并应输出一个一维数组idx，\n",
    "    其中包含索引（值在{1，…， K}，其中K为距离每个训练样本最近中心的总数）。\n",
    "    \"\"\"\n",
    "    idx = []\n",
    "    max_dist = 1000000  # 限制一下最大距离\n",
    "    for i in range(len(X)):\n",
    "        minus = X[i] - centroids\n",
    "        dist = minus[:, 0]**2 + minus[:, 1]**2\n",
    "        if dist.min() < max_dist:\n",
    "            ci = np.argmin(dist)  # numpy.argmin表示最小值在数组中所在的位置\n",
    "            idx.append(ci)\n",
    "    return np.array(idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0 2 1]\n"
     ]
    }
   ],
   "source": [
    "mat = loadmat('ex7/ex7data2.mat')\n",
    "X = mat['X']\n",
    "init_centroids = np.array([[3, 3], [6, 2], [8, 5]])\n",
    "idx = find_closest_centroids(X, init_centroids)\n",
    "print(idx[0:3])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1.1.2 Computing centroid means\n",
    "分配好每个点对应的簇中心，接下来要做的是，重新计算每个簇中心，为这个簇里面所有点位置的平均值。\n",
    "\n",
    "$$μ_k := \\frac{1}{|C_k|}\\sum_{i \\in C_k}x^{(i)}$$\n",
    "\n",
    "$C_k$是我们分配好给簇中心点的样本集。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_centroids(X, idx):\n",
    "    centroids = []\n",
    "    for i in range(len(np.unique(idx))): # len(np.unique(idx)) 为聚类中心的总数\n",
    "        u_k = X[idx==i].mean(axis=0) # 求每列的平均值\n",
    "        centroids.append(u_k)\n",
    "    \n",
    "    return np.array(centroids)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2.42830111, 3.15792418],\n",
       "       [5.81350331, 2.63365645],\n",
       "       [7.11938687, 3.6166844 ]])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "compute_centroids(X, idx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 K-means on example dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_data(X, centroids, idx=None):\n",
    "    \"\"\"\n",
    "    可视化数据，并自动分开着色。\n",
    "    idx: 最后一次迭代生成的idx向量，存储每个样本分配的簇中心点的值\n",
    "    centroids: 包含每次中心点历史记录\n",
    "    \"\"\"\n",
    "    colors = ['b','g','gold','darkorange','salmon','olivedrab', \n",
    "              'maroon', 'navy', 'sienna', 'tomato', 'lightgray', 'gainsboro'\n",
    "             'coral', 'aliceblue', 'dimgray', 'mintcream', 'mintcream']\n",
    "    \n",
    "    assert len(centroids[0]) <= len(colors), 'colors not enough'\n",
    "    \n",
    "    sub_X = []\n",
    "    if idx is not None:\n",
    "        for i in range(centroids[0].shape[0]):\n",
    "            x_i = X[idx == i]\n",
    "            sub_X.append(x_i)\n",
    "    else:\n",
    "        sub_X = [X]\n",
    "        \n",
    "    plt.figure(figsize=(8,5))\n",
    "    for i in range(len(sub_X)):\n",
    "        xx = sub_X[i]\n",
    "        plt.scatter(xx[:,0], xx[:,1], c=colors[i], label='Cluster {}'.format(i))\n",
    "    plt.legend()\n",
    "    plt.grid(True)\n",
    "    plt.xlabel('x1', fontsize=14)\n",
    "    plt.ylabel('x2', fontsize=14)\n",
    "    plt.title('Plot of X Points', fontsize=16)\n",
    "    \n",
    "    # 画出中心点的移动轨迹\n",
    "    xx, yy = [], []\n",
    "    for centroid in centroids:\n",
    "        xx.append(centroid[:, 0])\n",
    "        yy.append(centroid[:, 1])\n",
    "    \n",
    "    plt.plot(xx, yy, 'rx--', markersize=8)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_data(X, [init_centroids])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def run_kmeans(X, centroids, max_iters):\n",
    "    K = len(centroids)  # 中心点总数\n",
    "    \n",
    "    centroids_all = []\n",
    "    centroids_all.append(centroids)\n",
    "    centroid_i = centroids\n",
    "    for i in range(max_iters):\n",
    "        idx = find_closest_centroids(X, centroid_i)\n",
    "        centroid_i = compute_centroids(X, idx)\n",
    "        centroids_all.append(centroid_i)\n",
    "    \n",
    "    return idx, centroids_all"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "idx, centroids_all = run_kmeans(X, init_centroids, 20)\n",
    "plot_data(X, centroids_all, idx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.3 Random initialization\n",
    "在实践中，对簇中心点进行初始化的一个好的策略就是从训练集中选择随机的例子。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def init_centroids(X, K):\n",
    "    \"\"\"\n",
    "    随机初始化\n",
    "    \"\"\"\n",
    "    m, n = X.shape\n",
    "    idx = np.random.choice(m, K)\n",
    "    centroids = X[idx]\n",
    "    return centroids"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "进行三次随机初始化，看下各自的效果。会发现有些效果并不理想，这是正常的，落入了局部最优。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for i in range(3):\n",
    "    centroids = init_centroids(X, 3)\n",
    "    idx, centroids_all = run_kmeans(X, centroids, 10)\n",
    "    plot_data(X, centroids_all, idx)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "上面运行了三次随机初始化，可以看到不同的随机化，效果是不一样的。\n",
    "\n",
    "## 1.4 Image compression with K-means\n",
    "这部分你将用Kmeans来进行图片压缩。在一个简单的24位颜色表示图像。每个像素被表示为三个8位无符号整数(从0到255)，指定了红、绿和蓝色的强度值。这种编码通常被称为RGB编码。我们的图像包含数千种颜色，在这一部分的练习中，你将把颜色的数量减少到16种颜色。\n",
    "\n",
    "这可以有效地压缩照片。具体地说，您只需要存储16个选中颜色的RGB值，而对于图中的每个像素，现在只需要将该颜色的索引存储在该位置(只需要4 bits就能表示16种可能性)。\n",
    "\n",
    "接下来我们要用K-means算法选16种颜色，用于图片压缩。你将把原始图片的每个像素看作一个数据样本，然后利用K-means算法去找分组最好的16种颜色。\n",
    "\n",
    "### 1.4.1 K-means on pixels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(128, 128, 3)\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from skimage import io\n",
    "\n",
    "A = io.imread('ex7/bird_small.png')\n",
    "print(A.shape)\n",
    "plt.imshow(A)\n",
    "A = A / 255  # 除以255，使所有值都在0 - 1范围内"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 将图像重塑为(N,3)个矩阵，其中N = 像素数\n",
    "# 每一行将包含红、绿、蓝像素值\n",
    "# 这给出了我们的数据集矩阵X，我们将使用K-Means\n",
    "\n",
    "X = A.reshape(-1, 3)\n",
    "K = 16\n",
    "centroids = init_centroids(X, K)\n",
    "idx, centroids_all = run_kmeans(X, centroids, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0xe2c2f50780>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "img = np.zeros(X.shape)\n",
    "centroids = centroids_all[-1]\n",
    "for i in range(len(centroids)):\n",
    "    img[idx == i] = centroids[i]\n",
    "    \n",
    "img = img.reshape((128, 128, 3))\n",
    "\n",
    "fig, axes = plt.subplots(1, 2, figsize=(12, 6))\n",
    "axes[0].imshow(A)\n",
    "axes[1].imshow(img)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 2、Principal Component Analysis\n",
    "这部分，你将运用PCA来实现降维。您将首先通过一个2D数据集进行实验，以获得关于PCA如何工作的直观感受，然后在一个更大的图像数据集上使用它。\n",
    "\n",
    "## 2.1 Example Dataset\n",
    "为了帮助您理解PCA是如何工作的，您将首先从一个二维数据集开始，该数据集有一个大的变化方向和一个较小的变化方向。\n",
    "\n",
    "在这部分练习中，您将看到使用PCA将数据从2D减少到1D时会发生什么。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(50, 2)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0xe2c2fa8278>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XXQds2ZJ+yWH+/MDBg9k7QELruEVC2LZtnHhbsgT473+BFSuADz5gH5IzZ9yOLjxUqsSuiqn9+iu7LebP7//7K3GLOCgxkfXksmVZwmjThtusnfTFF6xV33pryrUOHbipZu7cy/+ctUzyI0YAr78eWr07Au3pp7m0cPFi/rmuXcu18sOGATkCkFWVuEUc9NRTXG0weza3Xnfvzn4fmzc7d4/jxzNuFlW8OPD33xn/jLWsyfbowc/37+cGnC++cC6ucNK5M3uYDxjAuYXOndnEa9CgwNxfNW4Rhxw+zGVh27ezBprslVeAPXtYznDCvHnAs89yJJ+8XC8+PmXJX0bncv7wA2viq1YBhQrx2qZN3Jizc2fa480kaxISmLyvdqJXNW4RF+zYwX4gqZM2wBUfGzc6d5+2bdlEqXFjdvAbPZqntw8alHHSBtijpF+/lKQNAFWr8jliYpyLLRy5cVyb1nGLOOTGG5m8jx5NO4L9+WeOhp2SIwe3o3/1FfDtt6ylf/jhlbenZ3T+JMBrOZUFPEelEhEHPfYYV3289x4T+fTpXAHy449pJxMD7eefuatv1aqU+vjKlay/796dveVr4iztnBRxyejRrGk3acK6c6NGPJjXzaQNAA0acKdf1arAPfewN/f337Ntq5K292jELeInFy8GZmlYVmzfzsnNAgWAu+/mumMJDhpxiwSBYEvaAFe9DB7sdhRytYLwr5aIiFyJEreIiMcocYuIeIwSt4iIx2hyUuQqbNwIfPMNJyLLlOHmm8qV2Vzf6cnJNWuA4cOBRYuA669nb4zhwzPvwy1X59Qp4N//BmbM4NdduwJDhwamC+DlaMTtkFOn2HlNHdfCx2uvMUHv2we8+y6P+po2jZ3j6tZlkymnbN/Ore5duvB5Y2KAZcvYf0T85+JFdl787Te2F/joI37eoQO/5xYlbgeMGQNERfEfUf36PGDVyX+0Enw2bOD/9/XrgYgI4I47gK1b+Y/666/ZvOmpp5y735gxQP/+HGUXLMiNNDNmcGfmn386dx9JKyaGHRe//JJHv9Wrx8+PHuUGJrcocV+lBQuAUaN4bFFsLLvAVanCfskSumbOBHr14nmOU6cCL7zABlOdO7Ol64gR/Afu1Khs0yY2hEqtcGHglluA33935h6S3qpVHIilLnvlyMFrbu4xVOK+Sh98kPKPFmCnsNdfZx+IPXvcjU38J0eOlKR8/jwbPQE8SMEYfp2YyN7XTqhShf1GUjtxgjX2ChWcuYekFxXFd1eX2rCBcxpu8SlxG2PijDEbjDHrjDHay57KwYNA+fJpr+XNC9xwA3tVSGjq0oWHEOzdC3TqxBr3tm0cbXfuzCZTHTqwjOKEQYOAceOATz8Fzp3jKLt7d/YdKVXKmXtIel27AuvW8TT38+f58f77PKYs9UHBgZaVEXdza20NX/fSh4umTfmWOLWNG4EDB1iHlNBUtSonIWvU4Mh77Fg2kmrdOiXJ/t//Zf15T54E4uLSt2CtVInHkn3+OVczNGzIg4LHjnXk5chlFCjAWvaXX/KEoeLFOQEdE+PuqhKfmkwZY+IARFtrfZpyC6cmUwcPckKydWv+Bt6xg6sN/vlP4KGH3I7Om/bt48hy715OBnXvnlKKCDY7d3I5YHLZZP9+Lgfs0SPtoQWZSUjgErOJE/lziYnAyy/z8INLWRv4xv3Cf+sAk7c/ZKXJlK+JexeAowAsgA+steMzeEx/AP0BICoqqvbu3buzFLSXxcfzrfJPP3GyasAAoFkzt6Pypp9+4tv/rl05qp09m3++CxcCRYu6HZ3/DBnCJX8ff8zE8Ouv7N739tvAXXe5HZ0Egj8Sdylr7X5jTHEA3wMYZK1dcrnHh9OIW5xjLVCtGvtZd+6ccu2BBzhJ9K9/uRqe35w6BZQuzeWEJUqkXJ8xg6WQhQvdi00Cx/EzJ621+5P+exDALAB1sx+eSMZ27waOHEk7wjQGGDgQmDPHvbj87cgR1ktTJ22Av8S0MkkykmniNsYUMMYUSv4cQBsAv/k7MAk/efIAZ8+mn5g7cQLIl8+dmAKhZEkuL1y7Nu31OXOAOnXciUmCmy8j7hIAfjLGrAfwC4C51toF/g1LgtWff3J3YEKC889dsiRQq1ba1RhnzrB0cv/9zt8vWOTMyTLQPfdwxcLmzeyN8eab7EUicqlMm0xZa3cCqB6AWCSIHTkC9O0LLFnCw2aPHwfeegvo3dvZ+0yYwF1pM2cCN9/MpVht2nDC1wmHDrF2fOIE7+P2WZDJHnyQf66jR7NkVLcua9vBEp8EF3UHFJ/07s3dofv2sWyxbh3QsSM3HzVq5Nx9ypblrrSFC7kc8JlnnFsPP28eX0e7djxrsU0bnnw+cmRwLK/r2JEfIpnRYcGSqV27uFZ9zx5u6U/2/vvA8uXcQRjsTp/mypQ5c/haAJ50XrcuV260auVufCKOryqR8PbnnxwJp07aAHfz7d/vTkxZ9d//AtWrpyRtgOvCBw5kXVnES5S4JVPVqnFzSFxc2uszZ3LrtRdcvJjxwQYREc41ghIJFCVuyVShQsDzz7MmPHkyu9QNHgzMn++dRv4tW/IEmTVrUq6dOAH85z9sGBWsNm9mC4U33+QvT2HZa/du/6xs8golbvHJE09wEm/SJG7PzpOH9e1LN40Eq4IFeXpJ69bs//H001yx0bw5D0EIRm++ydYJ8fGcqL399vBqKnXiBPDDD+x1by1w4QL/v5UuzQnxMmXYaiIcaXJSwsr+/ez0lrwcMFg3uGzaBLRowU05JUvyWlwcULs2r0VFuRqe4xITgW+/5cqf/Pn5i3bcOP5yPXiQa92bNAG2bOFkeKlS/Pzuu4HnnuOhFl7neK+SrFLiDm3r1/MorZ072db08cc5eSnOeeUVHo91aWvYhx/mnMPgwe7E5Q8XLwLduvHv04MPsi3y+PFcCvrqqxxtjx3L17xtW8qhJQDw3Xcs461a5V78TtGqEvGbmBjWuitVSjlhvF49NkgS5xiT8bFnySfshJI5c9gOeflyzplYCwwbxmR98CBfb8+efOyl52uGaz8XJW7xmbXsGf3xx/yH1aoV67BPPAG89JI7MZ0+zcMHQk3XrpxPSJ2Utm/nQcR33+1eXP4wbx7Qp0/KctOjR7npqnlzLuMEuHQzb15g6dK0Pxuu/Vy0c1J8duwY3862a5f2erduwDvvBDaWffs4OvvuO37doAGPC6tSJbBx+EvlynxHU7Mmk3hiIvDVV5wgjox0OzpnFSjAv1vJWrViHTshgd8DUn6BjRnD+n7t2myH8PLLPBko3GjELT7Ln59roZNPAkkWF8c+G4Fy4QLLNdWqMZajR9m/u1Ur4O+/AxeHvw0ZwhUVlSpxkm79+tA8ValXLy7L3LWLX/fuzVU0y5fz/+eYMZyYfOUVnhD0xRds/bt0KX9x1w3DJtOanJQseewxNmr65BMm8oMHgTvv5FvdRx8NTAxz5/If8fLlaa9368blcwMHBiaOjJw8yXLGkSNcFaImUb4ZNw549lme4XrsGOdMevVi7btwYU5ahvqpUlmZnFSpRLJk5EiubChThiPBLVuARx4JbLLcsYNvlS9VqxZLOW5ZsYIjwXr1uNb4jTfYqnXMmNCbUHTawIHAvfeyuViBAnz3lCeP21EFLyVuyZL8+Tlptncv8McfrClfe21gY6hRgyO0xERuWQc4cRoTw9azbkhM5KHGH34IdOrEa2+9xY0is2YxgcuVXX89cN99bkfhDapxS7ZERnJC0KmknZgILFjASc6YmIyXwiVr3Jgj2h49eKju1q0s4cTHcyLPDStXcuVDctIG2CpgyBBg6lR3YpLQpRG34NgxLrvKlYtbwgN9TNihQ0Dbtvy8QQPgs88Yy4IFwDXXpH+8Mdxl9+qrXBp3/jwnJxcudO/t9YUL6bsnAoznwoXAxyOhTZOTYe6zz7jzsUEDHhP2228cIbZoEbgY+vblFufRo5mUrWXN0xiWRLwgIYG7R6dPTzlYIiGBa5EHDHD+pCAJPdryLj7Zto1tWZcs4TFhALBoESeJdu7kW31/s5ZJ+9Ilhfv2cUXG0aP+j8Ep8+czQXfpwlLOtGmcA5g6lb02RK5EW97FJ5MnA//zPylJG+CSq9tvZykiUBIT05cZcuf2XomhXTuuta5Qge9eRo1i8lbSFqfpr1QYO3Uq48nFa68N3DZyY7iEbtQo4MUXU66PGuXNrd2lS7MtgIg/qVQSxhYu5KaZNWu4zA8ADhwAbrkFWL06cB3//viDteCqVVlrX7qUfTkWLWL7TpFwoA044pPmzXkGY/36PFzgzBlOBg4ZEtg2rVFRPNn9yy+5oadbN67nDfTqFhGvUOIOY8aw09+8eaxp587NPhDJqyICKX9+bmsWkcwpcYe5HDmAjh35ISLeoFUlIiIeo8QtIuIxStySJadPA08+yYZAuXOzN8emTW5HJRJelLglS3r2ZGfA2Fj2nG7Zkh9//eV2ZCLhQ5OT4rNNm3iadlwcm0AB7HOyZQvbmY4Y4Wp4ImFDI27x2ebNPCYqOWkna9iQ3xORwFDiFp/dfDPPQDx/Pu31ZcvS9jsREf9S4hafVa3KEff997N74IkTbMX69dc8zkxEAkOJW7Jk8mRuUa9XjytLFi7kxw03uB2ZSPhQkykRkSDglyZTxpgIALEA9llrtUFafHb2LPDdd2wV27KlRuciVysrpZLHAWjtgGTJ8uVA+fLAu++yFn7zzcDbb7sdlYi3+TTiNsZEAugA4FUAT/g1IgkZ587xGK8JE4D27Xlt3z62kW3QgP8VkazzdcT9DoBhAC5e7gHGmP7GmFhjTGx8fLwjwYm3LVwI3HRTStIGeELMo4+yfayIZE+midsY0xHAQWvt6is9zlo73lobba2NLpb61FcJCr//Dvz0E3D8eODuefo0UKRI+utFivB7IpI9voy4GwLoZIyJAzAVQAtjjMZLHhEfD7RuDTRpAjz1FFCuXOBqzM2bc3POjh0p1xISeHhD+/Y8cefiZd/DicjlZJq4rbXPWmsjrbXlAHQHsNBa28vvkYkj+vQBqlfnuY4rVvB8yXHjgLlz/X/va68F3nqLW+JfeIGbderXB/LkAV56CbjmGqBECR4S7LUT3UXcpA04IWzPHjaFevXVlP4i5cqxGdT48YGJ4eGHgZgYjq63bOFZkjt2AP/+N68tXw4sXgwMHx6YeERCQZa6A1prFwFY5JdIxHGHD3NEmydP2utlywKHDgUujttuA0aO5OedO/MXyR138OsKFbgbs2pVjsoLFgxcXCJepRF3CLv5Zta4f/017fWpU4GmTbP/vKdPc9R85kzWf/b339nvJLWSJVlW+fPP7MckEk6UuENYnjysMbdvD4wZA8yfD/TrB3z/PTBkSNaf7+JF4PnngchIoFUroEwZjp6z0jXhttu4TDC1nTuBv//m84pI5nSQQojr04drqT/4APj2W6BRI05SXn992scdOABMmQIcPcpt6Y0bA8akfcxbbwE//sgRfGQkD1To0gUoWhR47DHf4hk2DGjTBihUCLjzTvbxHjyYK17y5XPkJYuEPDWZEsTE8EiyTp2AUqWA6dOB2rW5+iS5bWtEBLBtGycSa9RI+dkVK/jLYetW3++3ciVXkqxcyQ05gwfzncClvyhEwklWmkwpcYe5hASuNJkyJaXuffYs130fO8YkPWQI69mtWgF33QXMmpWSZE+cYNOoU6dcewkiISEriVs17jC3YgVHvaknK/Pm5Xrrw4c5kdmgAcsntWrx8StXpjx29uz0k40i4l9K3GEuRw4gMTH99R07WDbJkepvyKuvcsv8O+8AGzcCY8dyNP7yy4GL11fx8fwFE8hljyKBosQd5urXZ3JbsCDl2smTwPr13NmYWtu2QJUqwK5dwL33cqJy7lxOZAaLCxc4UVqpEvCPfwAVK7KGrp2ZEkq0qiTM5cwJTJoE3HMPyyWlSwMzZ7KePX8+v9ejB0fl48Zx1cnWrUDu3G5HnrFXXuEk6s6d/MVz5AjQtSvw5pvAc8+5HZ2IMzQ5KQC4jvqrr5joWrYEatYEVq8G+vcH9u7liPWWW9hbu2JFt6O9vJIl+U6gSpWUaxs2cC37nj3uxSWSGa0qEcdYy4SXMyd7luaAAAAHsklEQVRr3sHMWsZ55kzadwSnTnFn5rlz7sUmkhmtKhHHGMNT3YM9aQOMtXFjYNq0tNenTePyRpFQoRq3hJTXXuNa8z/+YDvZpUu5iSgQbWxFAkUjbgkpDRpwd2dcHNvX7t3L5K215hJKNOKWkFO1auD6jYu4QSNuERGPUeIWEfEYlUrEs06eZHOs7duBatW40SZvXrejEvE/jbjFk3bs4Iag+fPZD/yzz9iK9uBBtyMT8T8lbvGkIUPYk2TmTODZZ9lTvHVrriQRCXXaOSmek5DAE3SOHgXy50+5vns3UKeORt3iTVnZOakatzjq5Elg4kRg+XLutnz4Yed7mxjDdrPnz6e9npAA5Mrl7L1EgpFKJeKYI0fYJvaHH1i2yJmTG2K++87Z++TKBXTuzF2SyW8YL15kZ8Bu3Zy9l0gw0ojbR8eOsetcvnxA8+Y8QV3SevttoF49dhBM1qIFMGAAW63mcHCYMGoUDx1evJi7IhctAooUAd57z7l7iAQrjbh98OmnQPny3I336qv8fNkyt6MKPvPnAw89lPZay5ZsCfv7787e64YbgLVrORl5441M5EuWsPYtEuo04s7E5s3A00/zrMXKlXltwQIePBAXxxG4UKFCPKcytYQE1r39kVAjIoAOHZx/XpFgpxF3Jj7/HOjbNyVpAzzCq0YNYN489+IKRg88wPMnjx3j19YCr7/OQ4a90BZWxCs04s7EiRNA2bLpr193Hb8nKfr04VmVN93E/tdbt/Idybffuh2ZSGjRiDsT7dpx1J369JS//mK5pFUr9+IKRsaw1rx2LXD//ZykjI3lOZYi4hyNuDPRti3XJTdoAPTrx3rte+8BQ4cCkZFuRxecoqL4ISL+ocSdiRw5gMmTgW++AWbPZhOjSZOARo3cjkxEwpUStw8iIriK5J573I5EREQ1bhERz1HiFhHxmEwTtzEmrzHmF2PMemPMRmPMS4EITEREMuZLjfscgBbW2pPGmFwAfjLGzLfWrvBzbCIikoFME7dlw+6TSV/mSvpwvom3iIj4xKcatzEmwhizDsBBAN9ba1f6NywREbkcnxK3tTbRWlsDQCSAusaYWy99jDGmvzEm1hgTGx8f73ScIiKSJEurSqy1xwAsAtA2g++Nt9ZGW2ujixUrlq1gDh0CNmwAzpzJ1o+LiIQFX1aVFDPGFE36PB+AVgC2OBnEmTPsLFexIk8wKVOGPS9ERCQ9X1aVlAQw0RgTASb6adbaOU4GMWQIcPo0D3stXBjYvh3o2JHNie67z8k7iYh4ny+rSn4FUNNfAZw4AUydCuzcyaQNABUqAG+8AbzzjhK3iMilXN85efQoUKAA+1unVrkysH+/OzGJiAQz1xN36dI8tXvlJQsMZ84EGjZ0JyYRkWDmenfAiAiWRbp0AV56Cbj1VmDuXB7Mu2SJ29GJiAQf1xM3APTowVO7x4wBxo0D6tThKeo33eR2ZCIiwScoEjcANG/ODxERuTLXa9wiIpI1StwiIh6jxC0i4jFK3CIiHqPELSLiMUrcIiIeY3jAjcNPakw8gN2pLl0P4JDjN/IOvX69fr3+8OXr6y9rrfWpJ7ZfEne6mxgTa62N9vuNgpRev16/Xr9ev5PPqVKJiIjHKHGLiHhMoBL3+ADdJ1jp9Yc3vf7w5vjrD0iNW0REnKNSiYiIx/g1cRtjPjbGHDTG/ObP+wQjY0wZY8yPxpjNxpiNxpjH3Y4p0IwxeY0xvxhj1if9GbzkdkyBZoyJMMasNcY4ek6rVxhj4owxG4wx64wxsW7HE2jGmKLGmBnGmC1JueB2R57Xn6USY0wTACcBfGatvdVvNwpCxpiSAEpaa9cYYwoBWA2gs7V2k8uhBYwxxgAoYK09aYzJBeAnAI9ba1e4HFrAGGOeABANoLC1tqPb8QSaMSYOQLS1NizXcRtjJgJYaq39yBiTG0B+a+2xq31ev464rbVLABzx5z2ClbX2T2vtmqTPTwDYDKC0u1EFlqWTSV/mSvoIm0kVY0wkgA4APnI7Fgk8Y0xhAE0ATAAAa22CE0kbUI07IIwx5QDUBLDyyo8MPUmlgnUADgL43lobTn8G7wAYBuCi24G4yAKIMcasNsb0dzuYALsRQDyAT5LKZR8ZYwo48cRK3H5mjCkI4CsAQ6y1x92OJ9CstYnW2hoAIgHUNcaERcnMGNMRwEFr7Wq3Y3FZQ2ttLQDtADyWVD4NFzkB1AIwzlpbE8ApAM848cRK3H6UVNf9CsAka+1Mt+NxU9JbxEUA2rocSqA0BNApqcY7FUALY8wX7oYUeNba/Un/PQhgFoC67kYUUHsB7E31LnMGmMivmhK3nyRNzE0AsNla+7bb8bjBGFPMGFM06fN8AFoB2OJuVIFhrX3WWhtprS0HoDuAhdbaXi6HFVDGmAJJE/NIKhG0ARA2K8ystX8B2GOMqZx0qSUARxYn+PWwYGPMFADNAFxvjNkL4J/W2gn+vGcQaQigN4ANSTVeABhurZ3nYkyBVhLARGNMBDhImGatDctlcWGqBIBZHMMgJ4DJ1toF7oYUcIMATEpaUbITwINOPKl2ToqIeIxKJSIiHqPELSLiMUrcIiIeo8QtIuIxStwiIh6jxC0i4jFK3CIiHqPELSLiMf8PmYe1BQQMiWYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mat = loadmat('ex7/ex7data1.mat')\n",
    "X = mat['X']\n",
    "print(X.shape)\n",
    "plt.scatter(X[:,0], X[:, 1], facecolors='none', edgecolors='b')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.2 Implementing PCA\n",
    "PCA由两部分组成：\n",
    "\n",
    "* 计算数据的方差矩阵\n",
    "* 用SVD计算特征向量$(U_1,U_2,...,U_n)$ \n",
    "\n",
    "在PCA之前，记得标准化数据。\n",
    "\n",
    "然后计算方差矩阵，如果你的每条样本数据是以行的形式表示，那么计算公式如下：\n",
    "\n",
    "$$\\Sigma = \\frac{1}{m}X^TX $$\n",
    "\n",
    "接着就可以用SVD计算主成分\n",
    "\n",
    "$$ [U, S, V] = svd(Sigma) $$\n",
    "\n",
    "U包含了主成分，每一列就是我们数据要映射的向量，S为对角矩阵，为奇异值。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def feature_normalize(X):\n",
    "    means = X.mean(axis=0)\n",
    "    stds = X.std(axis=0, ddof=1)\n",
    "    X_norm = (X - means) / stds\n",
    "    \n",
    "    return X_norm, means, stds"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "由于我们的协方差矩阵为X.T@X, X中每行为一条数据，我们是想要对列(特征)做压缩。\n",
    "\n",
    "这里由于是对协方差矩阵做SVD(), 所以得到的入口基其实为 V‘，出口基为V，可以打印出各自的shape来判断。\n",
    "\n",
    "故我们这里是对 数据集的列 做压缩。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def pca(X):\n",
    "    sigma = (X.T @ X) / len(X)\n",
    "    U, S, V = np.linalg.svd(sigma)\n",
    "    \n",
    "    return U, S, V"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-0.70710678 -0.70710678]\n"
     ]
    }
   ],
   "source": [
    "X_norm, means, stds = feature_normalize(X)\n",
    "U, S, V = pca(X_norm)\n",
    "print(U[:, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0xe2c300c6a0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 5))\n",
    "\n",
    "plt.scatter(X[:,0], X[:,1], facecolor='none', edgecolors='b')\n",
    "\n",
    "plt.plot([means[0], means[0] + 1.5*S[0]*U[0,0]],\n",
    "         [means[1], means[1] + 1.5*S[0]*U[0,1]],\n",
    "        c='r', linewidth=3, label='First Principal Component')\n",
    "plt.plot([means[0], means[0] + 1.5*S[1]*U[1,0]],\n",
    "         [means[1], means[1] + 1.5*S[1]*U[1,1]],\n",
    "        c='g', linewidth=3, label='Second Principal Component')\n",
    "\n",
    "plt.grid()\n",
    "# 改变x或y轴的极限，使x和y的增量相等，长度相同\n",
    "# 不然看着不垂直，不舒服\n",
    "plt.axis('equal')\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.3 Dimensionality Reduction with PCA\n",
    "### 2.3.1 Projecting the data onto the principal components"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def project_data(X, U, K):\n",
    "    Z = X @ U[:,:K]\n",
    "    \n",
    "    return Z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.48127391])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Z = project_data(X_norm, U, 1)\n",
    "Z[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3.2 Reconstructing an approximation of the data\n",
    "重建数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "def recover_data(Z, U, K):\n",
    "    X_rec = Z @ U[:,:K].T\n",
    "    \n",
    "    return X_rec"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.04741883, -1.04741883])"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "X_rec = recover_data(Z, U, 1)\n",
    "X_rec[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.3.3 Visualizing the projections"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0xe2c3069160>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 504x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7,5))\n",
    "plt.axis('equal')\n",
    "plot = plt.scatter(X_norm[:,0], X_norm[:,1], s=30, facecolors='none', \n",
    "                   edgecolors='b',label='Original Data Points')\n",
    "plot = plt.scatter(X_rec[:,0], X_rec[:,1], s=30, facecolors='none', \n",
    "                   edgecolors='r',label='PCA Reduced Data Points')\n",
    "\n",
    "plt.title(\"Example Dataset: Reduced Dimension Points Shown\",fontsize=14)\n",
    "plt.xlabel('x1 [Feature Normalized]',fontsize=14)\n",
    "plt.ylabel('x2 [Feature Normalized]',fontsize=14)\n",
    "plt.grid(True)\n",
    "\n",
    "for x in range(X_norm.shape[0]):\n",
    "    plt.plot([X_norm[x,0],X_rec[x,0]],[X_norm[x,1],X_rec[x,1]],'k--')\n",
    "    # 输入第一项全是X坐标，第二项都是Y坐标\n",
    "plt.legend()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2.4 Face Image Dataset\n",
    "在这部分练习中，您将人脸图像上运行PCA，看看如何在实践中使用它来减少维度。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(5000, 1024)\n"
     ]
    }
   ],
   "source": [
    "mat = loadmat('ex7/ex7faces.mat')\n",
    "X = mat['X']\n",
    "print(X.shape)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "def display_data(X, row, col):\n",
    "    fig, axs = plt.subplots(row, col, figsize=(8,8))\n",
    "    \n",
    "    for r in range(row):\n",
    "        for c in range(col):\n",
    "            axs[r][c].imshow(X[r*col + c].reshape(32,32).T, cmap='Greys_r')\n",
    "            axs[r][c].set_xticks([])\n",
    "            axs[r][c].set_yticks([])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_data(X, 10, 10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4.1 PCA on Faces"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "X_norm, means, stds = feature_normalize(X)\n",
    "\n",
    "U, S, V = pca(X_norm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((1024, 1024), (1024,))"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U.shape, S.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 36 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_data(U[:,:36].T, 6, 6)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2.4.2 Dimensionality Reduction"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x576 with 100 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "z = project_data(X_norm, U, K=36)\n",
    "X_rec = recover_data(z, U, K=36)\n",
    "display_data(X_rec, 10, 10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
